A class of non-algebraic threefolds

Toma, Matei. "A class of non-algebraic threefolds." Annales de l'institut Fourier 39.1 (1989): 239-250. <http://eudml.org/doc/74828>.

@article{Toma1989,
abstract = {Let $X$ be a compact complex nonsingular surface without curves, and $E$ a holomorphic vector bundle of rank 2 on $X$. It turns out that the associated projective bundle $\{\bf P\}E$ has no divisors if and only if $E$ is “strongly” irreducible. Using the results concerning irreducible bundles of [Banica-Le Potier, J. Crelle, 378 (1987), 1-31] and [Elencwajg- Forster, Annales Inst. Fourier, 32-4 (1982), 25-51] we give a proof of existence for bundles which are strongly irreducible.},
author = {Toma, Matei},
journal = {Annales de l'institut Fourier},
keywords = {compact complex surface; non-algebraic surface; complex threefold; holomorphic vector bundle; strongly irreducible bundles},
language = {eng},
number = {1},
pages = {239-250},
publisher = {Association des Annales de l'Institut Fourier},
title = {A class of non-algebraic threefolds},
url = {http://eudml.org/doc/74828},
volume = {39},
year = {1989},
}

TY - JOUR
AU - Toma, Matei
TI - A class of non-algebraic threefolds
JO - Annales de l'institut Fourier
PY - 1989
PB - Association des Annales de l'Institut Fourier
VL - 39
IS - 1
SP - 239
EP - 250
AB - Let $X$ be a compact complex nonsingular surface without curves, and $E$ a holomorphic vector bundle of rank 2 on $X$. It turns out that the associated projective bundle ${\bf P}E$ has no divisors if and only if $E$ is “strongly” irreducible. Using the results concerning irreducible bundles of [Banica-Le Potier, J. Crelle, 378 (1987), 1-31] and [Elencwajg- Forster, Annales Inst. Fourier, 32-4 (1982), 25-51] we give a proof of existence for bundles which are strongly irreducible.
LA - eng
KW - compact complex surface; non-algebraic surface; complex threefold; holomorphic vector bundle; strongly irreducible bundles
UR - http://eudml.org/doc/74828
ER -